A class of distributions with the quadratic mean residual quantile function. Issue 19 (2nd October 2019)

• Record Type: Journal Article
• Authors: Sankaran, P. G.; Dileep Kumar, M.
• Is Part Of: Communications in statistics. Volume 48:Issue 19(2019)
• Page Start: 4936
• Page End: 4957
• Publication Date: 2019-10-02
• Subjects: Quantile function -- Hazard quantile function -- Quadratic mean residual quantile function -- Quantile density function -- L-moments; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2018.1504967
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: The present paper introduces a new family of distributions with quadratic mean residual quantile function. Various distributional properties as well as reliability characteristics are discussed. Some characterizations of the class of distributions are presented. The estimation of parameters of the model using method of L -moments is studied. The practical application of the class of models is illustrated with a real life data set.